A helical spring has both ends securely fixed one vertical above the other and a mass is attached to the spring at some intermediate point.

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Show that the frequency of vibration is minimum when the load point is at the centre of fixed ends (Y = 0.5L)

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where,

y = Dist between fixed end and load point.

L = Dist. between the fixed ends.

Case 1: When a helical spring is considered.

Case 2: When …

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